1.
Which statement is true?
A
All quadrilaterals are rectangles.
B
All quadrilaterals are squares.
C
All rectangles are quadrilaterals.
D
All quadrilaterals are parallelograms.
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46 practice sets · Page 1 of 3
Which statement is true?
All quadrilaterals are rectangles.
All quadrilaterals are squares.
All rectangles are quadrilaterals.
All quadrilaterals are parallelograms.
Which quadrilateral has only one pair of opposite sides parallel ?
trapezium
rhombus
rectangle
none of these.
Which quadrilateral has diagonals that always bisect its angles and also bisect each other?
rhombus
rectangle
parallelogram
isosceles trapezoid
Which of the quadrilateral is not a parallelogram ?
rectangle
trapezium
square
rhombus.
Which of the following statements is NOT true when describing the diagonals of a rectangle?
The diagonals of a rectangle are always perpendicular.
The diagonals of a rectangle are always congruent.
The diagonals of a rectangle always bisect one another
The diagonals of a rectangle are always longer than any one side of the rectangle.
Which of the following is not true for a parallelogram?
Opposite sides are equal
Opposite angles are equal
Opposite angles are bisected by the diagonals
Diagonals bisect each other
Which of the following is not a parallelogram?
trapezium
square
rectangle
rhombus
Which of the following conditions or set of conditions must be met for a parallelogram to be a rectangle?
Diagonals are perpendicular.
Diagonals are congruent.
All sides are congruent.
The length of a diagonal is equal to the length of a side.
Which of the following conditions or set of conditions is suffi cient for a parallelogram to be a square?
Diagonals are perpendicular and diagonals are congruent.
Diagonals are congruent.
All sides are congruent.
The length of a diagonal is equal to the length of a side.
Which description does NOT guarantee that a quadrilateral is a square?
is both a rectangle and a rhombus
is a parallelogram with perpendicular diagonals
has all sides congruent and all angles congruent
has all right angles and has all sides congruent
Which compound statement is true?
A triangle has three sides and a quadrilateral has five sides.
A triangle has three sides if and only if a quadrilateral has five sides.
If a triangle has three sides, then a quadrilateral has five sides.
A triangle has three sides or a quadrilateral has five sides.
When a quadrilateral is reflected over the line y = x, which geometric relationship is not preserved?
congruence
orientation
parallelism
perpendicularity
What statement would be suffi cient to prove that a quadrilateral is a rhombus?
The quadrilateral has four congruent angles.
The quadrilateral has two pairs of parallel sides.
The quadrilateral has four congruent sides.
The quadrilateral has two pairs of congruent angles.
What is true about the diagonals in an isosceles trapezoid?
They are congruent.
They are perpendicular.
They are congruent and perpendicular.
The length of each diagonal is equal to half the sum of the bases.
Trapezium, rhombus and parallelograms are
triangles
circles
quadrilaterals
none of these.
Three angles of a quadrilateral are 75°, 90° and 75°, then the fourth angle is
90°
95°
105°
120°
The quadrilateral formed by joining the mid-points of the sides of a quadrilateral PQRS, taken in order, is a rectangle, if
PQRS is a rectangle
PQRS is a parallelogram
diagonals of PQRS are perpendicular
diagonals of PQRS are equal
The quadrilateral formed by joining the mid-points of the side of quadrilateral PQRS, taken in order, is a rhombus, if
PQRS is a rhombus
PQRS is a parallelogram
diagonals of PQRS are perpendicular
diagonals of PQRS are equal
The figure obtained by joining the mid-points of the sides of a rhombus, taken in order, is
a rhombus
a rectangle
a square
any parallelogram
The figure formed by joining the mid-points of the sides of a quadrilateral ABCD, taken in order, is a square only, if
ABCD is a rhombus
diagonals of ABCD are equal
diagonals of ABCD are equal and perpendicular
diagonals of ABCD are perpendicular